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Popular >

simplify 5^3*5^{-2}

Solution

simplify

5^{3} \cdot 5^{- 2}

Solution

5

Solution steps

5^{3} \cdot 5^{- 2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{3} \cdot 5^{- 2} = 5^{3 - 2}

= 5^{3 - 2}

Subtract the numbers:

3 - 2 = 1

= 5^{1}

Apply exponent rule:

a^{1} = a

= 5

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Frequently Asked Questions (FAQ)

What is 5^3*5^{-2} ?
The solution to 5^3*5^{-2} is 5